# CAOP

## Graphical Representation of Hermite Polynomials

### Definition

The Hermite polynomials are defined as

\begin{align} H_n(x) &= n! \sum_{k=0}^{[n/2]} \frac{(-1)^k}{k!(n-2k)!} (2x)^{n-2k}\\ &= (2x)^n {}_2F_0 \left(\left. {-n/2, -(n-1)/2 \atop -} \; \right| -\frac{1}{x^2} \right) \end{align}

### Plot

Note: You can choose a selection on the small graph in order to zoom. Mark the check boxes on the left side for which n you want to plot the graph.

### Parameters

factor (use Maple-style input)